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Control and Nonlinearity
About this Title
Jean-Michel Coron
Publication: Mathematical Surveys and Monographs
Publication Year:
2007; Volume 136
ISBNs: 978-0-8218-4918-7 (print); 978-1-4704-1363-7 (online)
DOI: https://doi.org/10.1090/surv/136
MathSciNet review: MR2302744
MSC: Primary 93-02; Secondary 35Q30, 35Q53, 35Q55, 93C20
Table of Contents
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Front/Back Matter
Chapters
- 1. Finite-dimensional linear control systems
- 2. Linear partial differential equations
- 3. Controllability of nonlinear systems in finite dimension
- 4. Linearized control systems and fixed-point methods
- 5. Iterated Lie brackets
- 6. Return method
- 7. Quasi-static deformations
- 8. Power series expansion
- 9. Previous methods applied to a Schrödinger equation
- 10. Linear control systems in finite dimension and applications to nonlinear control systems
- 11. Stabilization of nonlinear control systems in finite dimension
- 12. Feedback design tools
- 13. Applications to some partial differential equations